The Kolmogorov mapping theorem in signal processing
Cita com:
hdl:2117/91135
Tipus de documentText en actes de congrés
Data publicació1994
Condicions d'accésAccés obert
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Abstract
Since the publication in 1957 of the work of Andrei
Kolmogorov 181 in mapping a function of multiple variables
by means functions of a single variable, many
mathematicians and engineers try , with different degree of
success and not without controversy 1191. to find the direct
application of it to multiple extremes problems, rooting of
multivariate polynomials, neural networks and pattern
recognition. This paper revisits the theorem from the optic
of a generalised architecture for signal processing 1281. It is
envisaged the high potential of the theorem to handle either
linear or non-linear processing problems. A specific
implementation following the main guide-lines of the
theorem is reported, as well as some preliminary results
concerning the design, implementation and performance of
non-linear systems. The applications cover non linear
transmission channels for communications, instantaneous
companders and prediction of chaotic series.
CitacióLagunas, M. The Kolmogorov mapping theorem in signal processing. A: IEEE Workshop on Statistical Signal and Array Processing. "IEEE Seventh SP Workshop on Statistical Signal and Array Processing: June 26-29, 1994: proceedings". 1994, p. 185-190.
Versió de l'editorhttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=572475
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